Pith Number

pith:RN7RXB4K

pith:2014:RN7RXB4KUYFPYRCJQHLY5SCNPA

not attested not anchored not stored refs pending

Families of short cycles on Riemannian surfaces

Yevgeny Liokumovich

arxiv:1410.8436 v2 · 2014-10-30 · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RN7RXB4KUYFPYRCJQHLY5SCNPA}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:12:50.051832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b7f1b878aa60afc444981d78ec84d7827ec833f09bc5f9cc2f6866918223eb8

Aliases

arxiv: 1410.8436 · arxiv_version: 1410.8436v2 · doi: 10.48550/arxiv.1410.8436 · pith_short_12: RN7RXB4KUYFP · pith_short_16: RN7RXB4KUYFPYRCJ · pith_short_8: RN7RXB4K

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/RN7RXB4KUYFPYRCJQHLY5SCNPA \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 8b7f1b878aa60afc444981d78ec84d7827ec833f09bc5f9cc2f6866918223eb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13abde9744c3724cec17a03c263a63b6696af87ade2d8886ce547cfb2f39145f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-10-30T16:45:30Z",
    "title_canon_sha256": "076386bf0532baf3216d9924b47c6c9679545246ddcf93c2015d31a700485845"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.8436",
    "kind": "arxiv",
    "version": 2
  }
}